10000101 has 16 divisors (see below), whose sum is σ = 14292864. Its totient is φ = 6202944.

The previous prime is 10000079. The next prime is 10000103. The reversal of 10000101 is 10100001.

10000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000101 - 2⁷ = 9999973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (893304).

Almost surely, 2^10000101 is an apocalyptic number.

It is an amenable number.

10000101 is a deficient number, since it is larger than the sum of its proper divisors (4292763).

10000101 is a wasteful number, since it uses less digits than its factorization.

10000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 10000101 is about 3162.2936296302. The cubic root of 10000101 is about 215.4441943271. Note that the first 3 decimals are identical.

Adding to 10000101 its reverse (10100001), we get a palindrome (20100102).

Multiplying 10000101 by its reverse (10100001), we get a palindrome (101001030100101).

It can be divided in two parts, 10000 and 101, that added together give a palindrome (10101).

The spelling of 10000101 in words is "ten million, one hundred one", and thus it is an aban number.